**Solution:**

i. Since the given number has a terminating decimal expansion, it is a rational number of the form p/q and q is of the form 2^{m} x 5^{n}.

The prime factors of p and q will be either 2 or 5 or both.

ii. Since the decimal expansion is neither terminating nor recurring, the given number is an irrational number.

iii. Since the decimal expansion is nonterminating repeating, the given number is a

rational number of the form p/q and q is not of the form 2^{m} x 5^{n}.

The prime factors of q will also have a factor other than 2 or 5.